Search a number
-
+
11668825062 = 2332914875011
BaseRepresentation
bin10101101111000010…
…00010001111100110
31010010012221201202000
422313201002033212
5142344204400222
65205515230130
7562110243066
oct126741021746
933105851660
1011668825062
114a48824a84
122317a48346
13113c67001b
147c9a513a6
154846549ac
hex2b78423e6

11668825062 has 64 divisors (see below), whose sum is σ = 26848281600. Its totient is φ = 3752209440.

The previous prime is 11668824997. The next prime is 11668825073. The reversal of 11668825062 is 26052886611.

11668825062 is a `hidden beast` number, since 1 + 1 + 6 + 68 + 82 + 506 + 2 = 666.

11668825062 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×116688250622 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 11668824999 and 11668825017.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2326137 + ... + 2331147.

It is an arithmetic number, because the mean of its divisors is an integer number (419504400).

Almost surely, 211668825062 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11668825062, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13424140800).

11668825062 is an abundant number, since it is smaller than the sum of its proper divisors (15179456538).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

11668825062 is a wasteful number, since it uses less digits than its factorization.

11668825062 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6538 (or 6532 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The spelling of 11668825062 in words is "eleven billion, six hundred sixty-eight million, eight hundred twenty-five thousand, sixty-two".

Divisors: 1 2 3 6 9 18 27 29 54 58 87 174 261 522 783 1487 1566 2974 4461 5011 8922 10022 13383 15033 26766 30066 40149 43123 45099 80298 86246 90198 129369 135297 145319 258738 270594 290638 388107 435957 776214 871914 1164321 1307871 2328642 2615742 3923613 7451357 7847226 14902714 22354071 44708142 67062213 134124426 201186639 216089353 402373278 432178706 648268059 1296536118 1944804177 3889608354 5834412531 11668825062